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Finding the Fourth Proportional to 973.16, 1,459.76 and 543.05

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Solution

The fourth proportional to 973.16, 1,459.76 and 543.05 is: 814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.16 : 1,459.76 = 543.05 : x
  2. Step 2: Convert to fraction form
    973.16/1,459.76 = 543.05/x
  3. Step 3: Cross multiply
    973.16x = 1,459.76 × 543.05
  4. Step 4: Simplify right side
    973.16x = 792,712.65
  5. Step 5: Solve for x
    x = 792,712.65/973.16
  6. Step 6: Final answer
    x = 814.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.